We also check whether the sublimation model is consistent with the high release rates observed around younger more massive stars with ALMA. Let us take an extreme case, which is that of a belt as massive as that of the \(\beta \)  Pic system [1]}. To reach a belt of 1000 M\(_\oplus \) , we scale up the number of bodies in the KB (of total mass equal to \(\sim 0.1\)  M\(_\oplus \) ) by a factor \(10^4\)  and re-run our model leading to the dashed line in Fig. REF . This shows that gas release rates of \(\sim 0.1\)  M\(_\oplus \) /Myr can be reached with this model when gas is initially released from the young belt.
